Fixed points of monotone nonexpansive mappings on a hyperbolic metric space with a graph

Fixexd point theory and applications

Mohamed Amine Khamsi¹  Monther Rashed Alfuraidan² 

[1] Department of Mathematical Sciences, University of Texas at El Paso, El Paso, USA;Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

关键词: directed graph;    fixed point;    hyperbolic metric space;    multivalued mapping;    nonexpansive mapping;    47H09;    46B20;    47H10;    47E10;   

DOI  :  10.1186/s13663-015-0294-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, we define the concept of G-monotone nonexpansive multivalued mappings defined on a metric space with a graph G. Then we obtain sufficient conditions for the existence of fixed points for such mappings in hyperbolic metric spaces. This is the first kind of such results in this direction.

【 授权许可】

CC BY